Linear Equation Worksheets
Master linear equation worksheets with unlimited practice problems. Customize difficulty and generate fresh worksheets every time.
Inverse Operations
Undo operations in reverse order: Subtraction undos Addition, Division undos Multiplication.
The Balance Rule
Whatever you do to one side of the equals sign, you must do to the other side.
Check Your Work
Substitute your answer back into the original equation to see if it makes it true.
Worksheet Facts by Grade Level
| Grade | Focus Area |
|---|---|
| Grade 6-7 | One-step equations, positive numbers only |
| Grade 8 | Two-step equations, negative numbers, fractions |
| Grade 9+ | Multi-step, distribution, variables on both sides |
Mastering Linear Equations
Solving for "x" is the heart of algebra. A linear equation is an equation where the variable has an exponent of 1. Our free printable linear equation worksheets provide practice for one-step, two-step, and multi-step problems.
Types of Equations
- One-Step: Requires just one operation to solve (e.g., x + 5 = 12).
- Two-Step: Requires two operations (e.g., 2x + 4 = 14).
- Multi-Step: Involves distribution, combining like terms, or variables on both sides.
Example: 2x + 4 = 14
1. Subtract 4 from both sides: 2x = 10.
2. Divide both sides by 2: x = 5.
Benefits of Mastery
🧠 Logical Reasoning
Develops step-by-step thinking habits essential for all STEM fields.
⚡ Variable Isolation
Master the core skill of moving numbers and letters across the equals sign.
🎯 Balance Concept
Provides a deep understanding of equality and mathematical balance.
📊 Algebra Readiness
Foundational for physics, geometry, and high-level calculus.
Frequently Asked Questions
What is a "solution" to an equation?
A solution is a value for the variable (like x = 5) that makes the equation true.
What do I do if there are x's on both sides?
Add or subtract the smaller "x term" from both sides to gather all variables on one side.